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Finding the Fourth Proportional to 1,916.73, 2,875.17 and 876.78

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Solution

The fourth proportional to 1,916.73, 2,875.17 and 876.78 is: 1,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.73 : 2,875.17 = 876.78 : x
  2. Step 2: Convert to fraction form
    1,916.73/2,875.17 = 876.78/x
  3. Step 3: Cross multiply
    1,916.73x = 2,875.17 × 876.78
  4. Step 4: Simplify right side
    1,916.73x = 2,520,891.55
  5. Step 5: Solve for x
    x = 2,520,891.55/1,916.73
  6. Step 6: Final answer
    x = 1,315.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.